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The five different forces are the derivatives of the Quaternion Energy

E=Es + Ev=[Es,Ev]

where Es is the Scalar Energy and Ev the vector Energy.

Force = XE = [d/dr,Del][Es,Ev] = [dEs/dr -Del . Ev, dEv/dr + Del Es + DelxEv]

dEs/dr the scalar derivative of the Scalar Energy, the Scalar Centripetal Force

Del.Ev the Divergence of the Vector Energy, the Scalar Centrifugal Force

dEv/dr the scalar derivative of the Vector Energy, the Vector Tangent Force

Del Es the vector Derivative of the Scalar Energy, the Vector Gradient Force

DelxEv the Curl of the Vector Energy, the Vector Circulation Force.

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